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Finding the Fourth Proportional to 429.75, 592.50 and 350.98

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Solution

The fourth proportional to 429.75, 592.50 and 350.98 is: 483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.75 : 592.50 = 350.98 : x
  2. Step 2: Convert to fraction form
    429.75/592.50 = 350.98/x
  3. Step 3: Cross multiply
    429.75x = 592.50 × 350.98
  4. Step 4: Simplify right side
    429.75x = 207,957.57
  5. Step 5: Solve for x
    x = 207,957.57/429.75
  6. Step 6: Final answer
    x = 483.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.